PocketGrandmaster Light 1.1

the author of this app says:

This chess game boasts three-piece sets and five chessboards with easy-to-use functions to load and save games. It has a chess clock and hints to help improve your gameplay.

There's a strong chess engine with a 20,000 move opening book and many preconfigured levels. It displays the engine's search information and lets you set up positions. The help file describes all of it's features.